El nivel de cooperación fue:



Los compañeros que dirigieron la dinámica se comportaron:




Mientras que los demás se dejaron dirigir fueron:



quienes no se involucran en la dinámica porque:





B)EN GRUPO COMENTEN CÓMO VIVIERON LA DINÁMICA Y QUÉ APRENDIZAJE PODRÍAN OBTENER DE LA EXPERIENCIA ANOTA TUS CONCLUSIONES:



ES DE SOCIO EMOCIONAL NO RESPONDAS SI NO SAVES

Answer:

a. x^2+2xy+y^2

Step-by-step explanation:

I hope this helps

Answer:

2

Step-by-step explanation:

When in a right angle triangle, the right angle has two angles inside it i.e. x+4° and  3x+2°, x is equal to 21.

what exactly is a triangle?

A triangle is a three-sided polygon, which is a two-dimensional shape with straight sides. It is one of the simplest and most common geometric shapes in mathematics. A triangle is defined by its three sides and three angles.

The total sum of the angles of a triangle is always equal to 180 °. The length of the sides and the size of the angles can vary, giving rise to different types of triangles, such as equilateral, isosceles, scalene, acute, obtuse, and right triangles.

Now,

The sum of two adjacent angles inside a 90° angle is 90°. So, we can set up an equation:

x + 4 + 3x + 2 = 90

Simplifying the left side by combining like terms:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing by 4:

x = 21

Therefore, The value of  x is 21.

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Answer:

c

Step-by-step explanation:

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Answer:

Step-by-step explanation:

first graph

y = 5x + 2

2 = y-intercept

5 = slope

the first graph is y = 5x+2 because the y-intercept is 2 and it rises 5 and goes over 1

second graph:

y = 2x + 3

third graph:

y = 3x + 3

The meaning of the y-intercept in this situation is ,

''For every additional mile the cab travels, the total fee increases by $12.00.''

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

From the table, we have the following parameters:

Points (x, y) = (2, 5) and (15.00, 19.50)

So, we would calculate the slope as follows:

Slope = (19.50 - 5)/(15.00 - 2)

Slope = 14.50/13

Slope = 1.11

Hence, We get;

Fixed fee = $15 - (1.12 x 2)

               = $15 - 2.24 ≈ $12.00

So, We get;

For every additional mile the cab travels, the total fee increases by $12.00.

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Answer:

$7.00

Step-by-step explanation:

there is a total of $35,000 worth of prizes being given out for 5,000 tickets.  We can find the expected value for each ticket by dividing 35,000/5,000.  This equals $7.00.

The correct equation is

Expected value for a ticket = 29980 (1/5000) + 80 x 5(5/5000) - 20(4994/5000)

A charity event is any gathering whose main goal is to raise money for a nonprofit, cause, or organisation.

We have,

Car is the gift offered and the car is worth 30000

Tickets sold = 5000

Out of 500 tickets, one ticket would fetch the car worth 30000 dollars and five gift cards will bring 100 dollars

So, the Expected value for a ticket

= 29980 (1/5000) + 80 x 5(5/5000) - 20(4994/5000)

=5.996+0.4-19.976

=-13.58

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Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

Answer: A, B, & C

Step-by-step explanation:

Select all

The conditions for constructing confidence interval are:

A confidence interval serve as the tool that can predict how a value can fall between a pair of values in a distribution mean.

From the case above, as regards the confidence interval with the sample , we can see that the data is a random sample, and there is independent observation.

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The expression without the summation notation is Sₙ = 4(n² - 1)/n²

Summation notation is used to write a very long sum (of elements) in a very concise manner. It is also called Sigma notation

Given:

\(\displaystyle \sum\limits_{i = 1}^n \frac{12k(k-1)}{n^{3} }\)

Below are the useful summation formulas you will need in order to rewrite the expression without the summation notation:

\(\displaystyle \sum\limits_{i = 1}^n i = \frac{{n\left( {n + 1} \right)}}{2}\)

\(\displaystyle \sum\limits_{i = 1}^n {{i^2}} = \frac{{n\left( {n + 1} \right)\left( {2n + 1} \right)}}{6}\)

Where i is a variable

Since 12 and n are constants, we can rewrite the given equation as follows:

\(\displaystyle \sum\limits_{i = 1}^n \frac{12k(k-1)}{n^{3} } = \displaystyle \frac{12}{n^{3} } \displaystyle\sum\limits_{i = 1}^n k(k-1)\)

                       \(= \displaystyle \frac{12}{n^{3} } \displaystyle\sum\limits_{i = 1}^n k(k-1)\)

                     \(= \displaystyle \frac{12}{n^{3} } \displaystyle\sum\limits_{i = 1}^n (k^{2}-k)\)

                    \(= \displaystyle \frac{12}{n^{3} } ( \displaystyle\sum\limits_{i = 1}^n k^{2} - \displaystyle\sum\limits_{i = 1}^n k )\)

Using the formula, we have:

                   = 12/n³ ( n(n+1)(2n+1)/6 - n(n+1)/2 )      Factorise n(n+1) out

                   = 12n(n+1)/n³ ( (2n+1)/6 - 1/2 )

                   = 12(n+1)/n² ( (2n+1-3)/2 )

                   = 12(n+1)/n² ( (2n-2/6) )

                   = 2(n+1)/n² (2n-2)

                  =  ( (2n+2)(2n-2) )/n²

                 = (4n² - 4)/n²

                 = 4(n² - 1)/n²

Therefore, using summation formulas to rewrite the expression without the summation notation gives Sₙ = 4(n² - 1)/n²

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Check values for white and black mat

Area of photo is = 3 x 5 = 15 inches ^2

The area most apropiate for this photo is

69 inches^2, because is the most similar in size

If FRANCESCA wants to save costs ,she should pick WHITE MAT

But , if she is not afraid of cost, then she should pick Black price mat of any size.

The factors of the polynomial function f(x) must be x, x + 6  and x + 3

From the question, we have the following parameters that can be used in our computation:

The graph (see attachment)

On the graph, we have the zeros of the function to be

x = -6, x = -3 and x = 0

Set the equations to 0

So, we have the following representation

x + 6 = 0, x + 3 = 0 and x = 0

This means that the factors are

x, x + 6  and x + 3

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Answer: Function B

Step-by-step explanation:

You must assume Grace has 0 dollars.

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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The distance from the balloon to the football field will be 1.4 miles.

Angle of depression to the Grove burg soccer fields = 20° 15'.

Use 1' = 1 / 60° :

15' = 1 / 4 ° = 0.25 °

20° 15' = 20.25°

Angle of depression to the high school football field = 62° 30'.

30' = 0.5°

62° 30' = 62.5°

the distance from the balloon to the football field will be:

Let the distance be a

a / sin a = c / sin c

a / sin (20.25) = 4 / sin (97.5)
a = 4 sin (20.25) / sin (97.5)

a = 1.4 miles.

Therefore, we get that, the distance from the balloon to the football field will be 1.4 miles.

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Answer:

Michaels class

Step-by-step explanation:

63 kids and 70 kids One group gets 9 groups and the other gets 10. 27/9 is 3, whileas 20/10 is 2 so Michaels class had more. Hope this helps :D

Answer:

1. 90

4. 468

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.

Answer:

Step-by-step explanation:

Answer:

She has 499.3$

Step-by-step explanation:

870+35.90+35.90+150-82.50-10-500

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

3x²-1

Step-by-step explanation:

f(x) = x²

g(x) = 3x-1

[g·f](x)

g(f(x))

3(x²)-1

Answer:81%

Step-by-step explanation:

Answer:

60% tiger trout

Step-by-step explanation:

First, do 22+18=  40

Then, when doing % its always out of 100. So, 100 - 40= 60%

Which means, there were 60% Tiger trout.                                                                                                                                                            

Answer:

Around 11.2

Step-by-step explanation:

The tangent of an angle in a right triangle is equivalent to the opposite side divided by the adjacent side. In this case:

\(\tan 24= \dfrac{5}{x} \\\\x=\dfrac{5}{\tan 24}\approx 11.2\)

Hope this helps!

To answer this question, we need to remember that the area of a rectangle is given by:

And we have - from the question - that:

And the width of the rectangle is:

If we factor the polynomial that represents the area, we need to find two numbers:

• a * b = 16

• a + b = -8

And both numbers are:

• a = -4

• b = -4

Since

• -4 * -4 = 16

• -4 - 4 = -8

Therefore, we can say that:

Therefore:

Then the length of the rectangle is:

In summary, therefore, the length of the rectangle is x - 4.

[We can check this result if we multiply both values as follows:

And we already know that the area of the rectangle is:

.]

The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Step-by-step explanation:

So bassically, when they say the word "to" in a ratio it means something to something right? So bassically, if it is boys to girls, we clearly know that there are 40 boys and 16 girls. So 40 boys to 16 girls, it would look like this

40:16. But thats not all! We can simplify this ratio. Think of it as a fraction that you are reducing to the minimum amount. The answers would be

40:16

20:8

10:4

5:2

*cannot be simplified any further*

Cheers!

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)